We introduce a new class of continuous distributions called the
generalized transmuted-Gfamily which extends the transmuted-Gclass.
We provide six special models of the new family. Some of itsmathematical
properties including explicit expressions for the ordinary and incomplete
moments, generating function, Rényi and Shannon entropies,
order statistics and probabilityweighted moments are derived. The estimation
of the model parameters is performed by maximum likelihood.
The flexibility of the proposed family is illustrated by means of three
applications to real data sets.